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Finding the Fourth Proportional to 74,468.82, 111,782.81 and 30,124.56

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Solution

The fourth proportional to 74,468.82, 111,782.81 and 30,124.56 is: 45,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468.82 : 111,782.81 = 30,124.56 : x
  2. Step 2: Convert to fraction form
    74,468.82/111,782.81 = 30,124.56/x
  3. Step 3: Cross multiply
    74,468.82x = 111,782.81 × 30,124.56
  4. Step 4: Simplify right side
    74,468.82x = 3,367,407,257.28
  5. Step 5: Solve for x
    x = 3,367,407,257.28/74,468.82
  6. Step 6: Final answer
    x = 45,219.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.